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Finding the Third Proportional to 156,032 and 336,099

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Solution

The third proportional to 156,032 and 336,099 is: 723,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,032 : 336,099 = 336,099 : x
  2. Step 2: Convert to fraction form
    156,032/336,099 = 336,099/x
  3. Step 3: Cross multiply
    156,032x = 336,099 × 336,099
  4. Step 4: Simplify right side
    156,032x = 112,962,537,801
  5. Step 5: Solve for x
    x = 112,962,537,801/156,032
  6. Step 6: Final answer
    x = 723,970.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.